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Shear and Moment Diagram

Problem: Shear and Moment Diagram where Vertex must be Located

Draw the shear and moment diagram and solve the moment values using the area method.

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The applied load is trapezoidal, meaning it consists of a rectangular load and a triangular load whose degrees are not the same. As such, we need to convert the trapezoidal load into a triangular load to locate the vertex of the parabola. We can solve it by using ratio and proportion.

Problem: Load and Moment Given the Shear Diagram

Loads on beam a-b-c-d result to the shear diagram shown below.
V from a to b = 17kN
V from b to c = 12kN to -12kN
V from c to d = -17kN
a. Determine the concentrated load at B.
b. Determine the uniform load at b-c.
c. Determine the maximum span moment.

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